Approximate integrals of motion

We determine approximate numerical integrals of motion of 2D symmetric Hamiltonian systems. We detail for a few gravitational potentials the conditions under which quasi-integrals are obtained as polynomial series. We show that each of these potentials has a wide range of regular orbits that are acc...

Full description

Saved in:
Bibliographic Details
Published in:Astronomy and astrophysics (Berlin) 2013-01, Vol.549, p.1-11
Main Authors: Bienaymé, O., Traven, G.
Format: Article
Language:English
Subjects:
Approximation
Astronomy
Astrophysics
galaxies: kinematics and dynamics
gravitation
Integrals
Mathematical models
methods: numerical
Orbits
Polynomials
Two dimensional
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We determine approximate numerical integrals of motion of 2D symmetric Hamiltonian systems. We detail for a few gravitational potentials the conditions under which quasi-integrals are obtained as polynomial series. We show that each of these potentials has a wide range of regular orbits that are accurately modelled with a unique approximate integral of motion.
ISSN:0004-6361
1432-0746
DOI:10.1051/0004-6361/201220008